2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127515The purpose of this article is to prove that Gersten's conjecture for a commutative regular local ring is true. As its applications, we will prove the vanishing conjecture for certain Chow groups, generator conjecture for certain $K$-groups and Bloch's formula for absolute case.K-Theory and Homologytext